WebW2 = (. A spring has natural length 27 cm. Compare the work (in J) W, done in stretching the spring from 27 cm to 37 cm with the work (in J) W, done in stretching it from 37 cm to 47 cm. (Usek for the spring constant.) W, = w, = How are W, and W, related? WebFind step-by-step Calculus solutions and your answer to the following textbook question: A force of 10 lb is required to hold a spring stretched 4 in.beyond its natural length. How much work is done in stretching it from its natural length to 6 in. beyond its natural length?.
A spring has a natural length of 20 cm. If a 25-N force is r - Quizlet
WebNov 16, 2024 · What is the work required to stretch the spring from a length of 21 inches to a length of 26 inches? Show All Steps Hide All Steps. Hint : What is the spring constant, \(k\) and the force function? Start Solution. Let’s start off by finding the spring constant. We are told that a force of 20 lbs is needed to stretch the spring 24 in – 18 in ... Web10 lb force required to stretch spring 4 inches: 10 = k ( 4) so k = 10 / 4 ∫ 0 6 10 / 4 x d x find the antiderivative: ( 5 / 4) x 2 from 0 to 6. plug in 6, you get 45 in-lbs. convert to ft-lbs by dividing by 12. then you get 15 / 4, the book's answer. Share Cite Follow edited Oct 13, 2014 at 2:19 HK Lee 19.5k 7 33 94 answered Oct 13, 2014 at 1:50 hayaku meaning japanese
Work by Integration - Rochester Institute of Technology
WebIf a force of 60 lb stretches a 10-in spring to 14 inches, find the work done in stretching the spring from 15 inches to 17 inches. 30 lb-in 60 lb-in 120 lb-in O 180 lb-in This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer WebApr 3, 2024 · Answer to Question #107873 in Calculus for edward. Find the work done in stretching a spring of natural length 8 cm, from 10 cm to 13 cm. Assume a force of 6 N is needed to hold it at a length of 11 cm. WebAlthough the work done by the spring formula is negative, the elastic potential energy of the spring is not negative. On the contrary, at the very moment when the spring is stretched or compressed, positive potential energy is stored in the spring. The work done for pulling the spring is. The force is positive because it overcomes the spring ... hayaku opus